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Finding the Fourth Proportional to 2,263.86, 3,396.05 and 2,031.32

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Solution

The fourth proportional to 2,263.86, 3,396.05 and 2,031.32 is: 3,047.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,263.86 : 3,396.05 = 2,031.32 : x
  2. Step 2: Convert to fraction form
    2,263.86/3,396.05 = 2,031.32/x
  3. Step 3: Cross multiply
    2,263.86x = 3,396.05 × 2,031.32
  4. Step 4: Simplify right side
    2,263.86x = 6,898,467.70
  5. Step 5: Solve for x
    x = 6,898,467.70/2,263.86
  6. Step 6: Final answer
    x = 3,047.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.